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Finding the Fourth Proportional to 3,450.30, 5,175.45 and 1,992.30

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Solution

The fourth proportional to 3,450.30, 5,175.45 and 1,992.30 is: 2,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.30 : 5,175.45 = 1,992.30 : x
  2. Step 2: Convert to fraction form
    3,450.30/5,175.45 = 1,992.30/x
  3. Step 3: Cross multiply
    3,450.30x = 5,175.45 × 1,992.30
  4. Step 4: Simplify right side
    3,450.30x = 10,311,049.04
  5. Step 5: Solve for x
    x = 10,311,049.04/3,450.30
  6. Step 6: Final answer
    x = 2,988.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.